
Time bar (total: 7.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 1 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 2 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 3 |
| 75% | 37.5% | 12.5% | 50% | 0% | 0% | 0% | 4 |
| 87.5% | 43.7% | 6.2% | 50% | 0% | 0% | 0% | 5 |
| 93.8% | 46.9% | 3.1% | 50% | 0% | 0% | 0% | 6 |
| 96.9% | 48.4% | 1.6% | 50% | 0% | 0% | 0% | 7 |
| 98.4% | 49.2% | 0.8% | 50% | 0% | 0% | 0% | 8 |
| 99.2% | 49.6% | 0.4% | 50% | 0% | 0% | 0% | 9 |
| 99.6% | 49.8% | 0.2% | 50% | 0% | 0% | 0% | 10 |
| 99.8% | 49.9% | 0.1% | 50% | 0% | 0% | 0% | 11 |
| 99.9% | 49.9% | 0% | 50% | 0% | 0% | 0% | 12 |
Compiled 29 to 13 computations (55.2% saved)
| 955.0ms | 8 256× | 0 | valid |
ival-mult: 278.0ms (44% of total)ival-div: 247.0ms (39.1% of total)ival-sub: 57.0ms (9% of total)ival->: 32.0ms (5.1% of total)exact: 14.0ms (2.2% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 7 204× | lower-fma.f64 |
| 7 204× | lower-fma.f32 |
| 5 094× | lower-*.f32 |
| 5 086× | lower-*.f64 |
| 3 164× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 1 | 55 | 43 |
| 2 | 350 | 26 |
| 3 | 2861 | 26 |
| 4 | 7636 | 26 |
| 0 | 10 | 25 |
| 0 | 17 | 21 |
| 1 | 45 | 19 |
| 2 | 187 | 13 |
| 3 | 1060 | 13 |
| 4 | 3649 | 11 |
| 5 | 5292 | 11 |
| 6 | 7322 | 11 |
| 0 | 8036 | 10 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) |
(abs i)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 199 | 0 | - | 1 | (6.381912489113506e-79) | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 65 | 0 | - | 0 | - | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
| 0 | 0 | - | 0 | - | (*.f64 i i) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 i i) (*.f64 i i)) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | i |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) i) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | u/u | 68 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | underflow | 106 | |
| ↳ | (*.f64 i i) | underflow | 136 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | underflow | 68 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | o/o | 65 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 92 | |
| ↳ | (*.f64 i i) | overflow | 130 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 65 | |
/.f64 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) | o/o | 64 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 92 | |
| ↳ | (*.f64 i i) | overflow | 130 | |
| ↳ | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | overflow | 64 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 65 | |
| ↳ | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) | overflow | 65 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 65 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | u/n | 38 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | underflow | 106 | |
| ↳ | (*.f64 i i) | underflow | 136 | |
/.f64 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) | o/n | 27 | 0 |
| ↳ | (*.f64 (*.f64 i i) (*.f64 i i)) | overflow | 92 | |
| ↳ | (*.f64 i i) | overflow | 130 | |
/.f64 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) | n/o | 1 | 0 |
| ↳ | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) | overflow | 65 | |
| ↳ | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) | overflow | 65 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 198 | 1 |
| - | 0 | 57 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 198 | 0 | 1 |
| - | 0 | 0 | 57 |
| number | freq |
|---|---|
| 0 | 58 |
| 1 | 133 |
| 2 | 65 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 35.0ms | 512× | 0 | valid |
Compiled 200 to 44 computations (78% saved)
ival-mult: 11.0ms (53.6% of total)ival-div: 6.0ms (29.2% of total)ival-sub: 2.0ms (9.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 24.9% | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
Compiled 26 to 10 computations (61.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
| ✓ | cost-diff | 320 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 1664 | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 7 204× | lower-fma.f64 |
| 7 204× | lower-fma.f32 |
| 5 094× | lower-*.f32 |
| 5 086× | lower-*.f64 |
| 3 164× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 72 |
| 0 | 17 | 62 |
| 1 | 45 | 56 |
| 2 | 187 | 42 |
| 3 | 1060 | 42 |
| 4 | 3649 | 40 |
| 5 | 5292 | 40 |
| 6 | 7322 | 40 |
| 0 | 8036 | 38 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(*.f64 i i) |
i |
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(/.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal 16 binary64) #s(literal -4 binary64))) |
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(*.f64 i i) |
i |
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(*.f64 #s(literal 2 binary64) i) |
(*.f64 i #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) i) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 i i) (*.f64 i i)) |
| ✓ | accuracy | 75.4% | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| ✓ | accuracy | 30.7% | (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
| 17.0ms | 256× | 0 | valid |
Compiled 74 to 12 computations (83.8% saved)
ival-mult: 5.0ms (50.3% of total)ival-div: 3.0ms (30.2% of total)ival-sub: 1.0ms (10.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)))> |
#<alt (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))> |
#<alt (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))> |
#<alt (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))> |
#<alt (*.f64 (*.f64 i i) (*.f64 i i))> |
#<alt (*.f64 #s(literal 2 binary64) i)> |
| Outputs |
|---|
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))> |
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt (* 4 (pow i 2))> |
#<alt -1> |
#<alt (- (* 4 (pow i 2)) 1)> |
#<alt (- (* 4 (pow i 2)) 1)> |
#<alt (- (* 4 (pow i 2)) 1)> |
#<alt (* 4 (pow i 2))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* 4 (pow i 2))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (pow i 4)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
#<alt (* 2 i)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | i | @ | -inf | (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) |
| 1.0ms | i | @ | inf | (/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1)) |
| 1.0ms | i | @ | 0 | (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) |
| 0.0ms | i | @ | inf | (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) |
| 0.0ms | i | @ | inf | (* (* 2 i) (* 2 i)) |
| 1× | batch-egg-rewrite |
| 5 018× | lower-*.f32 |
| 5 010× | lower-*.f64 |
| 4 240× | lower-/.f32 |
| 4 236× | lower-/.f64 |
| 3 978× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 66 |
| 0 | 17 | 50 |
| 1 | 75 | 44 |
| 2 | 653 | 32 |
| 0 | 8740 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) |
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) |
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(*.f64 #s(literal 2 binary64) i) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 i #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 i i))) (log.f64 (*.f64 (*.f64 i i) #s(literal 4 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 i i) #s(literal -4 binary64))) (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) |
(neg.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64))) |
(/.f64 i (/.f64 #s(literal 4 binary64) i)) |
(/.f64 i (*.f64 (/.f64 #s(literal 2 binary64) i) #s(literal 2 binary64))) |
(/.f64 (*.f64 i i) #s(literal 4 binary64)) |
(/.f64 (*.f64 i i) (*.f64 (/.f64 #s(literal 2 binary64) i) (*.f64 i #s(literal 2 binary64)))) |
(/.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 4 binary64))) |
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) (*.f64 i (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) #s(literal -4 binary64))) |
(/.f64 (*.f64 i #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) i)) |
(/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(/.f64 (*.f64 i (*.f64 i i)) (*.f64 i #s(literal 4 binary64))) |
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/2 binary64)) (*.f64 i #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 i (*.f64 i i)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 i #s(literal -2 binary64)))) |
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 i i))) |
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(*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) |
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (neg.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4096 binary64) (*.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))))) (*.f64 #s(literal 256 binary64) (*.f64 (*.f64 i (*.f64 i (*.f64 i i))) (*.f64 i (*.f64 i (*.f64 i i))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 i (*.f64 i i)) (*.f64 (*.f64 i (*.f64 i i)) #s(literal 64 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 i i) (-.f64 (*.f64 (*.f64 i i) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 i (*.f64 i (*.f64 (*.f64 i i) #s(literal 16 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 i i)))) |
(exp.f64 (*.f64 (log.f64 i) #s(literal 4 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 i) (log.f64 (*.f64 i i)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))) |
(neg.f64 (neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))) |
(pow.f64 i #s(literal 4 binary64)) |
(pow.f64 (*.f64 i i) #s(literal 2 binary64)) |
(pow.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64)) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(*.f64 i (neg.f64 (neg.f64 (*.f64 i (*.f64 i i))))) |
(*.f64 (*.f64 i i) (*.f64 i i)) |
(*.f64 (*.f64 i i) (neg.f64 (neg.f64 (*.f64 i i)))) |
(*.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 i (*.f64 i (*.f64 i i))))) |
(*.f64 (*.f64 i (*.f64 i i)) i) |
(*.f64 (*.f64 i (*.f64 i i)) (neg.f64 (neg.f64 i))) |
(*.f64 (neg.f64 (*.f64 i i)) (neg.f64 (*.f64 i i))) |
(*.f64 (neg.f64 i) (neg.f64 (*.f64 i (*.f64 i i)))) |
(*.f64 (neg.f64 (*.f64 i (*.f64 i i))) (neg.f64 i)) |
(*.f64 (neg.f64 (neg.f64 (*.f64 i i))) (*.f64 i i)) |
(*.f64 (neg.f64 (neg.f64 i)) (*.f64 i (*.f64 i i))) |
(*.f64 (neg.f64 (neg.f64 (*.f64 i (*.f64 i i)))) i) |
(exp.f64 (*.f64 (log.f64 (*.f64 i #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) i)) |
(/.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) i) |
(/.f64 (*.f64 i (*.f64 i #s(literal -2 binary64))) (neg.f64 i)) |
(pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 i #s(literal 2 binary64)) |
(*.f64 (*.f64 i i) (/.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal 2 binary64) i) |
(*.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 i #s(literal 2 binary64))) |
(*.f64 (*.f64 i (*.f64 i #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) i)) |
(*.f64 (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 i #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
| 1× | egg-herbie |
| 15 408× | lower-fma.f64 |
| 15 408× | lower-fma.f32 |
| 3 874× | lower-*.f64 |
| 3 874× | lower-*.f32 |
| 1 628× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 401 |
| 1 | 96 | 401 |
| 2 | 220 | 400 |
| 3 | 504 | 396 |
| 4 | 1045 | 396 |
| 5 | 2097 | 396 |
| 6 | 4072 | 396 |
| 7 | 6268 | 396 |
| 0 | 8056 | 384 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
(* 4 (pow i 2)) |
-1 |
(- (* 4 (pow i 2)) 1) |
(- (* 4 (pow i 2)) 1) |
(- (* 4 (pow i 2)) 1) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(pow i 4) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
(* 2 i) |
| Outputs |
|---|
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 (*.f64 i i) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/4 binary64))) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 i (*.f64 i (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 i (*.f64 i #s(literal -16 binary64)) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1/4 binary64)))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 1/1024 binary64) (*.f64 i (*.f64 i (*.f64 i (*.f64 i (*.f64 i i))))))) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(pow i 4) |
(*.f64 i (*.f64 i (*.f64 i i))) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
Compiled 23 299 to 1 900 computations (91.8% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 849 | 7 | 856 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 850 | 7 | 857 |
| Status | Accuracy | Program |
|---|---|---|
| 74.6% | (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) | |
| 99.1% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) | |
| ▶ | 47.7% | (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))) |
| ▶ | 52.9% | (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ▶ | 52.6% | (*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
| ▶ | 48.2% | #s(literal 1/16 binary64) |
Compiled 130 to 90 computations (30.8% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 i i) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ✓ | cost-diff | 0 | (*.f64 i i) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
| ✓ | cost-diff | 0 | (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ✓ | cost-diff | 0 | (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ✓ | cost-diff | 0 | (*.f64 i #s(literal -1/4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) |
| ✓ | cost-diff | 768 | (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))) |
| 9 990× | lower-fma.f32 |
| 9 986× | lower-fma.f64 |
| 2 364× | lower--.f32 |
| 2 362× | lower--.f64 |
| 2 278× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 103 |
| 0 | 37 | 103 |
| 1 | 63 | 103 |
| 2 | 104 | 103 |
| 3 | 172 | 103 |
| 4 | 265 | 103 |
| 5 | 368 | 103 |
| 6 | 592 | 103 |
| 7 | 1027 | 101 |
| 8 | 1729 | 101 |
| 9 | 3421 | 101 |
| 10 | 5470 | 101 |
| 11 | 7634 | 101 |
| 0 | 8134 | 100 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) |
#s(literal 1/4 binary64) |
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) |
i |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
(*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))) |
(/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) |
(fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
i |
(*.f64 i #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
i |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(literal -1/4 binary64) |
(*.f64 i i) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
#s(literal 1/16 binary64) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
#s(literal 1/64 binary64) |
(*.f64 i i) |
i |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 i i)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) |
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1 binary64) (+.f64 i i))) |
#s(literal 1/4 binary64) |
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (+.f64 i i)) |
i |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
(*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))) |
(*.f64 i (/.f64 i (+.f64 #s(literal 1 binary64) (+.f64 i i)))) |
(/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) |
(/.f64 i (+.f64 #s(literal 1 binary64) (+.f64 i i))) |
(fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (+.f64 i i)) |
#s(literal 1 binary64) |
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
i |
(*.f64 i #s(literal -1/4 binary64)) |
#s(literal -1/4 binary64) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) |
i |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
#s(literal -1/4 binary64) |
(*.f64 i i) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
#s(literal 1/16 binary64) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
#s(literal 1/64 binary64) |
(*.f64 i i) |
i |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ✓ | accuracy | 100.0% | (*.f64 i i) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
| ✓ | accuracy | 100.0% | (*.f64 i i) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
| ✓ | accuracy | 99.9% | (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ✓ | accuracy | 99.9% | (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
| ✓ | accuracy | 100.0% | (*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 i #s(literal -1/4 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))) |
| 48.0ms | 256× | 0 | valid |
Compiled 112 to 25 computations (77.7% saved)
ival-mult: 11.0ms (47.6% of total)ival-div: 6.0ms (26% of total)ival-add: 4.0ms (17.3% of total)ival-sub: 1.0ms (4.3% of total)exact: 1.0ms (4.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))))> |
#<alt (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))> |
#<alt (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))> |
#<alt (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))> |
#<alt (*.f64 i (*.f64 i #s(literal -1/4 binary64)))> |
#<alt (*.f64 i #s(literal -1/4 binary64))> |
#<alt (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))))> |
#<alt (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))> |
#<alt (-.f64 #s(literal -1/4 binary64) (*.f64 i i))> |
#<alt (*.f64 i i)> |
#<alt (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))> |
#<alt (/.f64 #s(literal 1/64 binary64) (*.f64 i i))> |
#<alt (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))> |
| Outputs |
|---|
#<alt (* -1/4 (pow i 2))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))> |
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))> |
#<alt -1/4> |
#<alt (- (* -1/2 i) 1/4)> |
#<alt (- (* i (- (* -1 i) 1/2)) 1/4)> |
#<alt (- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4)> |
#<alt (/ 1/8 i)> |
#<alt (/ (+ 1/8 (* 1/16 (/ 1 i))) i)> |
#<alt (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i)> |
#<alt (/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i)> |
#<alt (/ 1/8 i)> |
#<alt (/ (+ 1/8 (* 1/16 (/ 1 i))) i)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i))> |
#<alt -1> |
#<alt (- (* 2 i) 1)> |
#<alt (- (* 2 i) 1)> |
#<alt (- (* 2 i) 1)> |
#<alt (* 2 i)> |
#<alt (* i (- 2 (/ 1 i)))> |
#<alt (* i (- 2 (/ 1 i)))> |
#<alt (* i (- 2 (/ 1 i)))> |
#<alt (* 2 i)> |
#<alt (* -1 (* i (- (/ 1 i) 2)))> |
#<alt (* -1 (* i (- (/ 1 i) 2)))> |
#<alt (* -1 (* i (- (/ 1 i) 2)))> |
#<alt (pow i 2)> |
#<alt (* (pow i 2) (+ 1 (* -2 i)))> |
#<alt (* (pow i 2) (+ 1 (* i (- (* 4 i) 2))))> |
#<alt (* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))> |
#<alt (* 1/2 i)> |
#<alt (* i (- 1/2 (* 1/4 (/ 1 i))))> |
#<alt (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))))> |
#<alt (* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))))> |
#<alt (* 1/2 i)> |
#<alt (* -1 (* i (- (* 1/4 (/ 1 i)) 1/2)))> |
#<alt (* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2)))> |
#<alt (* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2)))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1/4 i)> |
#<alt (* i (- (* -1 (pow i 2)) 1/4))> |
#<alt (* i (- (* -1 (pow i 2)) 1/4))> |
#<alt (* i (- (* -1 (pow i 2)) 1/4))> |
#<alt (* -1 (pow i 3))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (pow i 3))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt -1/4> |
#<alt (- (* -1 (pow i 2)) 1/4)> |
#<alt (- (* -1 (pow i 2)) 1/4)> |
#<alt (- (* -1 (pow i 2)) 1/4)> |
#<alt (* -1 (pow i 2))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (pow i 2))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))> |
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))> |
#<alt (/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt (/ 1/64 (pow i 2))> |
#<alt i> |
#<alt (* i (+ 1 (* -2 i)))> |
#<alt (* i (+ 1 (* i (- (* 4 i) 2))))> |
#<alt (* i (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2))))> |
#<alt 1/2> |
#<alt (- 1/2 (* 1/4 (/ 1 i)))> |
#<alt (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i)))> |
#<alt (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3)))))> |
#<alt 1/2> |
#<alt (- 1/2 (* 1/4 (/ 1 i)))> |
#<alt (+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 i))) i)))> |
#<alt (+ 1/2 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i))) i)))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | i | @ | -inf | (/ 1/4 (+ (* i 2) -1)) |
| 1.0ms | i | @ | -inf | (* i (* i (- -1/4 (* i i)))) |
| 1.0ms | i | @ | 0 | (* (/ 1/4 (+ (* i 2) -1)) (* i (/ i (+ (* i 2) 1)))) |
| 0.0ms | i | @ | inf | (* i (* i (- -1/4 (* i i)))) |
| 0.0ms | i | @ | inf | (* i (* i -1/4)) |
| 1× | batch-egg-rewrite |
| 6 012× | lower-fma.f32 |
| 6 008× | lower-fma.f64 |
| 5 128× | lower-*.f32 |
| 5 114× | lower-*.f64 |
| 4 402× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 83 |
| 0 | 37 | 83 |
| 1 | 132 | 81 |
| 2 | 871 | 81 |
| 0 | 8659 | 79 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) |
(*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 i #s(literal -1/4 binary64)) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(*.f64 i i) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64))) (*.f64 i (*.f64 i #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64))) (*.f64 i (*.f64 i #s(literal 4 binary64))))) |
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 i (*.f64 i #s(literal 1/4 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 i #s(literal 2 binary64)))) |
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(/.f64 (/.f64 i (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (-.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))) |
(/.f64 (*.f64 i (fma.f64 i (-.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (neg.f64 i) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64))) (fma.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))) #s(literal 64 binary64) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))))) (fma.f64 (*.f64 i (*.f64 i (*.f64 i i))) #s(literal 16 binary64) (*.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)) (*.f64 i (*.f64 i #s(literal 4 binary64))))))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 i (-.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)))) (-.f64 (*.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 i (*.f64 i i)) #s(literal -8 binary64)))) (neg.f64 (fma.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) i) #s(literal -1 binary64)) |
(*.f64 i (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 i (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) i) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) i) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))) (neg.f64 i)) |
(*.f64 (/.f64 i (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 i (-.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 i (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 i (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 i (-.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal 1 binary64))) (*.f64 i (fma.f64 i (-.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal 1 binary64))) (*.f64 (fma.f64 i (-.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) i)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) i)) |
(*.f64 (/.f64 i #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) i) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)) i) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 i (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal 1 binary64)))) (fma.f64 i (-.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 i (fma.f64 i #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 i (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 i) (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 i (-.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (neg.f64 i) (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 i (neg.f64 (fma.f64 (*.f64 i (*.f64 i i)) #s(literal 8 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 i (-.f64 (*.f64 i #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 i (neg.f64 (fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) |
(*.f64 (/.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 i i)))) (fma.f64 i #s(literal -2 binary64) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 18 324× | lower-fma.f64 |
| 18 324× | lower-fma.f32 |
| 4 274× | lower-*.f64 |
| 4 274× | lower-*.f32 |
| 3 564× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 1061 |
| 1 | 473 | 1045 |
| 2 | 1207 | 1008 |
| 3 | 3441 | 988 |
| 4 | 7954 | 988 |
| 0 | 8030 | 948 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
-1/4 |
(- (* -1/2 i) 1/4) |
(- (* i (- (* -1 i) 1/2)) 1/4) |
(- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4) |
(/ 1/8 i) |
(/ (+ 1/8 (* 1/16 (/ 1 i))) i) |
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i) |
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i) |
(/ 1/8 i) |
(/ (+ 1/8 (* 1/16 (/ 1 i))) i) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i)) |
-1 |
(- (* 2 i) 1) |
(- (* 2 i) 1) |
(- (* 2 i) 1) |
(* 2 i) |
(* i (- 2 (/ 1 i))) |
(* i (- 2 (/ 1 i))) |
(* i (- 2 (/ 1 i))) |
(* 2 i) |
(* -1 (* i (- (/ 1 i) 2))) |
(* -1 (* i (- (/ 1 i) 2))) |
(* -1 (* i (- (/ 1 i) 2))) |
(pow i 2) |
(* (pow i 2) (+ 1 (* -2 i))) |
(* (pow i 2) (+ 1 (* i (- (* 4 i) 2)))) |
(* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2)))) |
(* 1/2 i) |
(* i (- 1/2 (* 1/4 (/ 1 i)))) |
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i)))) |
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3)))))) |
(* 1/2 i) |
(* -1 (* i (- (* 1/4 (/ 1 i)) 1/2))) |
(* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2))) |
(* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2))) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 (pow i 2)) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1/4 i) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(* -1 (pow i 3)) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (pow i 3)) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
-1/4 |
(- (* -1 (pow i 2)) 1/4) |
(- (* -1 (pow i 2)) 1/4) |
(- (* -1 (pow i 2)) 1/4) |
(* -1 (pow i 2)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (pow i 2)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(/ 1/64 (pow i 2)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
(/ 1/64 (pow i 2)) |
i |
(* i (+ 1 (* -2 i))) |
(* i (+ 1 (* i (- (* 4 i) 2)))) |
(* i (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2)))) |
1/2 |
(- 1/2 (* 1/4 (/ 1 i))) |
(- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))) |
(- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))) |
1/2 |
(- 1/2 (* 1/4 (/ 1 i))) |
(+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 i))) i))) |
(+ 1/2 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i))) i))) |
| Outputs |
|---|
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64))) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i #s(literal -16 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 i i) (*.f64 i i))) (+.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 i #s(literal 6 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))))) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* -1/2 i) 1/4) |
(fma.f64 i #s(literal -1/2 binary64) #s(literal -1/4 binary64)) |
(- (* i (- (* -1 i) 1/2)) 1/4) |
(fma.f64 i (-.f64 #s(literal -1/2 binary64) i) #s(literal -1/4 binary64)) |
(- (* i (- (* i (- (* -2 i) 1)) 1/2)) 1/4) |
(fma.f64 i (fma.f64 i (fma.f64 i #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1/4 binary64)) |
(/ 1/8 i) |
(/.f64 #s(literal 1/8 binary64) i) |
(/ (+ 1/8 (* 1/16 (/ 1 i))) i) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) i)) i) |
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (* 1/16 (/ 1 i)))) i) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)) #s(literal 1/8 binary64)) i) |
(/ (+ 1/8 (+ (/ 1/32 (pow i 2)) (+ (* 1/16 (/ 1 i)) (* 1/64 (/ 1 (pow i 3)))))) i) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 i i)) (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1/64 binary64) i)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) i))) i) |
(/ 1/8 i) |
(/.f64 #s(literal 1/8 binary64) i) |
(/ (+ 1/8 (* 1/16 (/ 1 i))) i) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) i)) i) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 1/32 (/ 1 i))) i)) 1/8) i)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)) i)) i) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (+ (/ 1/64 (pow i 2)) (* 1/32 (/ 1 i)))) i)) 1/8) i)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) i) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) i)) i) |
-1 |
#s(literal -1 binary64) |
(- (* 2 i) 1) |
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (* 2 i) 1) |
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (* 2 i) 1) |
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* i (- 2 (/ 1 i))) |
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) |
(* i (- 2 (/ 1 i))) |
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) |
(* i (- 2 (/ 1 i))) |
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) |
(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* -1 (* i (- (/ 1 i) 2))) |
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) |
(* -1 (* i (- (/ 1 i) 2))) |
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) |
(* -1 (* i (- (/ 1 i) 2))) |
(fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64)) |
(pow i 2) |
(*.f64 i i) |
(* (pow i 2) (+ 1 (* -2 i))) |
(*.f64 i (fma.f64 i (*.f64 i #s(literal -2 binary64)) i)) |
(* (pow i 2) (+ 1 (* i (- (* 4 i) 2)))) |
(*.f64 i (fma.f64 (*.f64 i i) (fma.f64 i #s(literal 4 binary64) #s(literal -2 binary64)) i)) |
(* (pow i 2) (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2)))) |
(*.f64 i (fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal -2 binary64)) i)) |
(* 1/2 i) |
(*.f64 i #s(literal 1/2 binary64)) |
(* i (- 1/2 (* 1/4 (/ 1 i)))) |
(fma.f64 i #s(literal 1/2 binary64) #s(literal -1/4 binary64)) |
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i)))) |
(+.f64 #s(literal -1/4 binary64) (fma.f64 i #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) i))) |
(* i (- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3)))))) |
(fma.f64 i #s(literal 1/2 binary64) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) i)) i))) |
(* 1/2 i) |
(*.f64 i #s(literal 1/2 binary64)) |
(* -1 (* i (- (* 1/4 (/ 1 i)) 1/2))) |
(fma.f64 i #s(literal 1/2 binary64) #s(literal -1/4 binary64)) |
(* -1 (* i (- (* -1 (/ (- (* 1/8 (/ 1 i)) 1/4) i)) 1/2))) |
(+.f64 #s(literal -1/4 binary64) (fma.f64 i #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) i))) |
(* -1 (* i (- (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 i)) 1/8) i)) 1/4) i)) 1/2))) |
(fma.f64 i #s(literal 1/2 binary64) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) i)) i))) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(neg.f64 (*.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))) i)) |
(* -1 (pow i 4)) |
(*.f64 i (*.f64 i (*.f64 i (neg.f64 i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (pow i 4)) |
(*.f64 i (*.f64 i (*.f64 i (neg.f64 i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* i (- (* -1 (pow i 2)) 1/4)) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* -1 (pow i 3)) |
(*.f64 i (*.f64 i (neg.f64 i))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* -1 (pow i 3)) |
(*.f64 i (*.f64 i (neg.f64 i))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
(* -1 (* (pow i 3) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(neg.f64 (*.f64 i (fma.f64 i i #s(literal 1/4 binary64)))) |
-1/4 |
#s(literal -1/4 binary64) |
(- (* -1 (pow i 2)) 1/4) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(- (* -1 (pow i 2)) 1/4) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(- (* -1 (pow i 2)) 1/4) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (pow i 2)) |
(*.f64 i (neg.f64 i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (pow i 2)) |
(*.f64 i (neg.f64 i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* -1 (* (pow i 2) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(-.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 i i)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 i i)) |
(/ (+ 1/64 (* 1/16 (pow i 2))) (pow i 2)) |
(/.f64 (fma.f64 i (*.f64 i #s(literal 1/16 binary64)) #s(literal 1/64 binary64)) (*.f64 i i)) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
(/ 1/64 (pow i 2)) |
(/.f64 #s(literal 1/64 binary64) (*.f64 i i)) |
i |
(* i (+ 1 (* -2 i))) |
(fma.f64 i (*.f64 i #s(literal -2 binary64)) i) |
(* i (+ 1 (* i (- (* 4 i) 2)))) |
(fma.f64 (*.f64 i i) (fma.f64 i #s(literal 4 binary64) #s(literal -2 binary64)) i) |
(* i (+ 1 (* i (- (* i (+ 4 (* -8 i))) 2)))) |
(fma.f64 (*.f64 i i) (fma.f64 i (fma.f64 i #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal -2 binary64)) i) |
1/2 |
#s(literal 1/2 binary64) |
(- 1/2 (* 1/4 (/ 1 i))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) i)) |
(- (+ 1/2 (/ 1/8 (pow i 2))) (* 1/4 (/ 1 i))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) i)) i)) |
(- (+ 1/2 (/ 1/8 (pow i 2))) (+ (* 1/4 (/ 1 i)) (* 1/16 (/ 1 (pow i 3))))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) i)) i)) i)) |
1/2 |
#s(literal 1/2 binary64) |
(- 1/2 (* 1/4 (/ 1 i))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) i)) |
(+ 1/2 (* -1 (/ (- 1/4 (* 1/8 (/ 1 i))) i))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) i)) i)) |
(+ 1/2 (* -1 (/ (+ 1/4 (* -1 (/ (- 1/8 (* 1/16 (/ 1 i))) i))) i))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/16 binary64) i)) i)) i)) |
Compiled 24 990 to 2 638 computations (89.4% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 031 | 1 | 1 032 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 032 | 7 | 1 039 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.9% | (fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))) |
| ▶ | 74.6% | (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
| ▶ | 99.1% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
| ✓ | 47.7% | (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ✓ | 52.9% | (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ✓ | 52.6% | (*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
| ✓ | 48.2% | #s(literal 1/16 binary64) |
Compiled 63 to 42 computations (33.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 i) |
| ✓ | cost-diff | 0 | (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))) |
| ✓ | cost-diff | 0 | (*.f64 i #s(literal -1/4 binary64)) |
| ✓ | cost-diff | 640 | (fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 i i) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 i i) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 4 binary64) (*.f64 i i)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
| 1 096× | lower-fma.f32 |
| 1 092× | lower-fma.f64 |
| 824× | lower-*.f32 |
| 814× | lower-*.f64 |
| 368× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 94 |
| 0 | 33 | 88 |
| 1 | 62 | 88 |
| 2 | 110 | 84 |
| 3 | 180 | 84 |
| 4 | 243 | 84 |
| 5 | 314 | 84 |
| 6 | 523 | 84 |
| 7 | 813 | 84 |
| 8 | 1245 | 84 |
| 9 | 1646 | 84 |
| 10 | 2256 | 84 |
| 11 | 2393 | 84 |
| 12 | 2445 | 84 |
| 13 | 2478 | 84 |
| 14 | 2483 | 84 |
| 0 | 2483 | 84 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
#s(literal 16 binary64) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
#s(literal 4 binary64) |
(*.f64 i i) |
i |
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(*.f64 i i) |
i |
#s(literal 1/4 binary64) |
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))) |
(*.f64 i #s(literal -1/4 binary64)) |
i |
#s(literal -1/4 binary64) |
(*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))) |
(neg.f64 i) |
(*.f64 i (*.f64 i i)) |
(*.f64 i i) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
#s(literal 16 binary64) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
#s(literal 4 binary64) |
(*.f64 i i) |
i |
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 i i) #s(literal -1/4 binary64)) (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(*.f64 i i) |
i |
#s(literal 1/4 binary64) |
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) |
#s(literal 4 binary64) |
#s(literal -1 binary64) |
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))) |
(neg.f64 (*.f64 i (*.f64 i (fma.f64 i i #s(literal 1/4 binary64))))) |
(*.f64 i #s(literal -1/4 binary64)) |
i |
#s(literal -1/4 binary64) |
(*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))) |
(neg.f64 (*.f64 (*.f64 i i) (*.f64 i i))) |
(neg.f64 i) |
(*.f64 i (*.f64 i i)) |
(*.f64 i i) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 i #s(literal -1/4 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 i) |
| ✓ | accuracy | 99.9% | (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))) |
| ✓ | accuracy | 99.9% | (*.f64 i (*.f64 i i)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 i i) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 75.4% | (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
| ✓ | accuracy | 100.0% | (*.f64 i i) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 4 binary64) (*.f64 i i)) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
| 78.0ms | 256× | 0 | valid |
Compiled 99 to 23 computations (76.8% saved)
ival-mult: 50.0ms (83.1% of total)ival-div: 5.0ms (8.3% of total)ival-add: 2.0ms (3.3% of total)ival-sub: 1.0ms (1.7% of total)exact: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))))> |
#<alt (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))> |
#<alt (/.f64 #s(literal 4 binary64) (*.f64 i i))> |
#<alt (*.f64 i i)> |
#<alt (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)))> |
#<alt (*.f64 (*.f64 i i) #s(literal 1/4 binary64))> |
#<alt (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))> |
#<alt (fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))))> |
#<alt (*.f64 i #s(literal -1/4 binary64))> |
#<alt (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))> |
#<alt (neg.f64 i)> |
#<alt (*.f64 i (*.f64 i i))> |
| Outputs |
|---|
#<alt (* -1/4 (pow i 2))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))> |
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))> |
#<alt (/ -4 (pow i 2))> |
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))> |
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))> |
#<alt (/ (- (* 16 (pow i 2)) 4) (pow i 2))> |
#<alt 16> |
#<alt (- 16 (* 4 (/ 1 (pow i 2))))> |
#<alt (- 16 (* 4 (/ 1 (pow i 2))))> |
#<alt (- 16 (* 4 (/ 1 (pow i 2))))> |
#<alt 16> |
#<alt (- 16 (* 4 (/ 1 (pow i 2))))> |
#<alt (- 16 (* 4 (/ 1 (pow i 2))))> |
#<alt (- 16 (* 4 (/ 1 (pow i 2))))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (/ 4 (pow i 2))> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (pow i 2)> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4))> |
#<alt (* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))> |
#<alt 1/16> |
#<alt (+ 1/16 (* 1/64 (/ 1 (pow i 2))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2)))))> |
#<alt (+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6))))))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt (* 1/4 (pow i 2))> |
#<alt -1> |
#<alt (- (* 4 (pow i 2)) 1)> |
#<alt (- (* 4 (pow i 2)) 1)> |
#<alt (- (* 4 (pow i 2)) 1)> |
#<alt (* 4 (pow i 2))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* 4 (pow i 2))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* (pow i 2) (- 4 (/ 1 (pow i 2))))> |
#<alt (* -1/4 (pow i 2))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* (pow i 2) (- (* -1 (pow i 2)) 1/4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2))))))> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1/4 i)> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 (pow i 4))> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (* -1 i)> |
#<alt (pow i 3)> |
#<alt (pow i 3)> |
#<alt (pow i 3)> |
#<alt (pow i 3)> |
#<alt (pow i 3)> |
#<alt (pow i 3)> |
#<alt (pow i 3)> |
#<alt (pow i 3)> |
#<alt (pow i 3)> |
#<alt (pow i 3)> |
#<alt (pow i 3)> |
#<alt (pow i 3)> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | i | @ | 0 | (+ (* (* i -1/4) i) (* (neg i) (* i (* i i)))) |
| 0.0ms | i | @ | inf | (* (neg i) (* i (* i i))) |
| 0.0ms | i | @ | 0 | (/ 1 (- 16 (/ 4 (* i i)))) |
| 0.0ms | i | @ | 0 | (* i (* i i)) |
| 0.0ms | i | @ | -inf | (* i (* i i)) |
| 1× | batch-egg-rewrite |
| 9 368× | lower-fma.f32 |
| 9 364× | lower-fma.f64 |
| 5 396× | lower-*.f32 |
| 5 386× | lower-*.f64 |
| 3 338× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 78 |
| 0 | 33 | 72 |
| 1 | 124 | 72 |
| 2 | 851 | 68 |
| 0 | 8553 | 66 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
(-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(*.f64 i i) |
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
(fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))) |
(*.f64 i #s(literal -1/4 binary64)) |
(*.f64 (neg.f64 i) (*.f64 i (*.f64 i i))) |
(neg.f64 i) |
(*.f64 i (*.f64 i i)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 256 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 256 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 #s(literal 64 binary64) (*.f64 i i)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) #s(literal 16 binary64))) |
(+.f64 (*.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) (*.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))) |
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))) |
(+.f64 (*.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) (*.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))) |
(+.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) #s(literal -16 binary64)))) |
(fma.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 i i)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
(fma.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))) |
(fma.f64 (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 #s(literal 256 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))) |
(fma.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 16 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (*.f64 (/.f64 #s(literal 64 binary64) (*.f64 i i)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) #s(literal 256 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -4096 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i))))))) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))))) |
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(pow.f64 (pow.f64 i #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 i)) #s(literal 3 binary64)) |
(*.f64 i (*.f64 i i)) |
(*.f64 (*.f64 i i) i) |
(*.f64 (pow.f64 i #s(literal 3/2 binary64)) (pow.f64 i #s(literal 3/2 binary64))) |
| 1× | egg-herbie |
| 16 986× | lower-fma.f64 |
| 16 986× | lower-fma.f32 |
| 3 502× | lower-*.f64 |
| 3 502× | lower-*.f32 |
| 2 170× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 853 |
| 1 | 143 | 853 |
| 2 | 348 | 806 |
| 3 | 825 | 798 |
| 4 | 1806 | 798 |
| 5 | 3419 | 798 |
| 6 | 6639 | 798 |
| 0 | 8368 | 783 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(/ -4 (pow i 2)) |
(/ (- (* 16 (pow i 2)) 4) (pow i 2)) |
(/ (- (* 16 (pow i 2)) 4) (pow i 2)) |
(/ (- (* 16 (pow i 2)) 4) (pow i 2)) |
16 |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
16 |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(/ 4 (pow i 2)) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
1/16 |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
(* 1/4 (pow i 2)) |
-1 |
(- (* 4 (pow i 2)) 1) |
(- (* 4 (pow i 2)) 1) |
(- (* 4 (pow i 2)) 1) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* 4 (pow i 2)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(* -1/4 (pow i 2)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (pow i 4)) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1/4 i) |
(* -1 (pow i 4)) |
(* -1 (pow i 4)) |
(* -1 (pow i 4)) |
(* -1 (pow i 4)) |
(* -1 (pow i 4)) |
(* -1 (pow i 4)) |
(* -1 (pow i 4)) |
(* -1 (pow i 4)) |
(* -1 (pow i 4)) |
(* -1 (pow i 4)) |
(* -1 (pow i 4)) |
(* -1 (pow i 4)) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(* -1 i) |
(pow i 3) |
(pow i 3) |
(pow i 3) |
(pow i 3) |
(pow i 3) |
(pow i 3) |
(pow i 3) |
(pow i 3) |
(pow i 3) |
(pow i 3) |
(pow i 3) |
(pow i 3) |
| Outputs |
|---|
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1/4 binary64))) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1/4 binary64))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
(/ -4 (pow i 2)) |
(/.f64 #s(literal -4 binary64) (*.f64 i i)) |
(/ (- (* 16 (pow i 2)) 4) (pow i 2)) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(/ (- (* 16 (pow i 2)) 4) (pow i 2)) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(/ (- (* 16 (pow i 2)) 4) (pow i 2)) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
16 |
#s(literal 16 binary64) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
16 |
#s(literal 16 binary64) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(- 16 (* 4 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (*.f64 i i))) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(/ 4 (pow i 2)) |
(/.f64 #s(literal 4 binary64) (*.f64 i i)) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* (pow i 2) (- (* (pow i 2) (- (* -4 (pow i 2)) 1)) 1/4)) |
(*.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 i (*.f64 i #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal -1/4 binary64))) |
(* (pow i 2) (- (* (pow i 2) (- (* (pow i 2) (- (* -16 (pow i 2)) 4)) 1)) 1/4)) |
(*.f64 (*.f64 i i) (fma.f64 (*.f64 i i) (fma.f64 i (*.f64 i (fma.f64 (*.f64 i i) #s(literal -16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal -1/4 binary64))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/64 (/ 1 (pow i 2)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (* 1/64 (/ 1 (pow i 2))))) |
(+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i))))) |
(+ 1/16 (+ (/ 1/256 (pow i 4)) (+ (* 1/64 (/ 1 (pow i 2))) (* 1/1024 (/ 1 (pow i 6)))))) |
(+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/256 binary64) (*.f64 i (*.f64 i (*.f64 i i)))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 i i)) (/.f64 #s(literal 1/1024 binary64) (*.f64 (*.f64 i i) (*.f64 i (*.f64 i (*.f64 i i)))))))) |
(* 1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 1/4 binary64))) |
(* 1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 1/4 binary64))) |
(* 1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 1/4 binary64))) |
(* 1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 1/4 binary64))) |
(* 1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 1/4 binary64))) |
(* 1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 1/4 binary64))) |
(* 1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 1/4 binary64))) |
(* 1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 1/4 binary64))) |
(* 1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 1/4 binary64))) |
(* 1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 1/4 binary64))) |
(* 1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 1/4 binary64))) |
(* 1/4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 1/4 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(- (* 4 (pow i 2)) 1) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* 4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 4 binary64))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* 4 (pow i 2)) |
(*.f64 i (*.f64 i #s(literal 4 binary64))) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* (pow i 2) (- 4 (/ 1 (pow i 2)))) |
(fma.f64 i (*.f64 i #s(literal 4 binary64)) #s(literal -1 binary64)) |
(* -1/4 (pow i 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* (pow i 2) (- (* -1 (pow i 2)) 1/4)) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1 (* (pow i 4) (+ 1 (* 1/4 (/ 1 (pow i 2)))))) |
(*.f64 (*.f64 i i) (-.f64 #s(literal -1/4 binary64) (*.f64 i i))) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1/4 i) |
(*.f64 #s(literal -1/4 binary64) i) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 (pow i 4)) |
(neg.f64 (*.f64 i (*.f64 i (*.f64 i i)))) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(* -1 i) |
(neg.f64 i) |
(pow i 3) |
(*.f64 i (*.f64 i i)) |
(pow i 3) |
(*.f64 i (*.f64 i i)) |
(pow i 3) |
(*.f64 i (*.f64 i i)) |
(pow i 3) |
(*.f64 i (*.f64 i i)) |
(pow i 3) |
(*.f64 i (*.f64 i i)) |
(pow i 3) |
(*.f64 i (*.f64 i i)) |
(pow i 3) |
(*.f64 i (*.f64 i i)) |
(pow i 3) |
(*.f64 i (*.f64 i i)) |
(pow i 3) |
(*.f64 i (*.f64 i i)) |
(pow i 3) |
(*.f64 i (*.f64 i i)) |
(pow i 3) |
(*.f64 i (*.f64 i i)) |
(pow i 3) |
(*.f64 i (*.f64 i i)) |
Compiled 16 452 to 1 567 computations (90.5% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 757 | 0 | 757 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 4 | 4 |
| Total | 757 | 7 | 764 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.9% | (fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))) |
| ✓ | 74.6% | (/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
| ✓ | 99.1% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
| ✓ | 47.7% | (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| ✓ | 52.9% | (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| ✓ | 52.6% | (*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
| ✓ | 48.2% | #s(literal 1/16 binary64) |
Compiled 160 to 82 computations (48.8% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))) |
(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))) |
2 calls:
| 4.0ms | i |
| 3.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | i |
| 99.8% | 1 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
Compiled 28 to 11 computations (60.7% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
(/.f64 (*.f64 (*.f64 i i) #s(literal 1/4 binary64)) (fma.f64 (*.f64 i i) #s(literal 4 binary64) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
2 calls:
| 3.0ms | i |
| 2.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | i |
| 99.1% | 1 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
Compiled 28 to 11 computations (60.7% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))) |
| Outputs |
|---|
(fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
2 calls:
| 3.0ms | i |
| 2.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | i |
| 73.6% | 2 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
Compiled 28 to 11 computations (60.7% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
| Outputs |
|---|
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i))) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | i |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
| Outputs |
|---|
(*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) |
#s(literal 1/16 binary64) |
1 calls:
| 2.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | i |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 1/16 binary64) |
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
| Outputs |
|---|
(*.f64 i (*.f64 i #s(literal -1/4 binary64))) |
#s(literal 1/16 binary64) |
1 calls:
| 1.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | i |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1/16 binary64) |
| Outputs |
|---|
#s(literal 1/16 binary64) |
2 calls:
| 1.0ms | i |
| 1.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.2% | 1 | (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) |
| 48.2% | 1 | i |
Compiled 28 to 11 computations (60.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.0022865615240716952 | 7.974455352620046 |
| 7.0ms | 128× | 0 | valid |
Compiled 221 to 142 computations (35.7% saved)
ival-mult: 3.0ms (60.7% of total)ival-sub: 1.0ms (20.2% of total)ival-div: 1.0ms (20.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0022865615240716952 | 7.974455352620046 |
Compiled 189 to 126 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0022865615240716952 | 7.974455352620046 |
Compiled 141 to 94 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0022865615240716952 | 7.974455352620046 |
Compiled 109 to 78 computations (28.4% saved)
| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 93 |
| 1 | 59 | 93 |
| 2 | 77 | 93 |
| 3 | 94 | 93 |
| 4 | 101 | 93 |
| 5 | 103 | 93 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) (fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64)) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 i #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 i (/.f64 i (fma.f64 i #s(literal 2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 i i)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) (fma.f64 (*.f64 i #s(literal -1/4 binary64)) i (*.f64 (neg.f64 i) (*.f64 i (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 i i)))) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i (-.f64 #s(literal -1/4 binary64) (*.f64 i i)))) #s(literal 1/16 binary64)) |
(if (<=.f64 i #s(literal 1/2 binary64)) (*.f64 i (*.f64 i #s(literal -1/4 binary64))) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
| 15 408× | lower-fma.f64 |
| 15 408× | lower-fma.f32 |
| 6 012× | lower-fma.f32 |
| 6 008× | lower-fma.f64 |
| 5 128× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 401 |
| 1 | 96 | 401 |
| 2 | 220 | 400 |
| 3 | 504 | 396 |
| 4 | 1045 | 396 |
| 5 | 2097 | 396 |
| 6 | 4072 | 396 |
| 7 | 6268 | 396 |
| 0 | 8056 | 384 |
| 0 | 22 | 83 |
| 0 | 37 | 83 |
| 1 | 132 | 81 |
| 2 | 871 | 81 |
| 0 | 8659 | 79 |
| 0 | 10 | 66 |
| 0 | 17 | 50 |
| 1 | 75 | 44 |
| 2 | 653 | 32 |
| 0 | 8740 | 30 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 167 to 86 computations (48.5% saved)
(abs i)
Compiled 272 to 116 computations (57.4% saved)
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